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Finding the Fourth Proportional to 468,817.30, 646,970.97 and 253,957.36

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Solution

The fourth proportional to 468,817.30, 646,970.97 and 253,957.36 is: 350,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,817.30 : 646,970.97 = 253,957.36 : x
  2. Step 2: Convert to fraction form
    468,817.30/646,970.97 = 253,957.36/x
  3. Step 3: Cross multiply
    468,817.30x = 646,970.97 × 253,957.36
  4. Step 4: Simplify right side
    468,817.30x = 164,303,039,537.84
  5. Step 5: Solve for x
    x = 164,303,039,537.84/468,817.30
  6. Step 6: Final answer
    x = 350,462.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.